THE BETA EXPONENTIATED WEIBULL GEOMETRIC DISTRIBUTION: MODELING, STRUCTURAL PROPERTIES, ESTIMATION AND AN APPLICATION TO A CERVICAL INTRAEPITHELIAL NEOPLASIA DATASET

F. Louzada, I. Elbatal, D. Granzotto
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引用次数: 1

Abstract

A new distribution, the so called beta exponentiated Weibull geometric (BEWG) distribution is proposed. The new distribution is generated from the logit of a beta random variable and includes the exponentiated Weibull geometric distribution as particular case. Various structural properties including explicit expressions for the moments, moment generating function, mean deviation of the new distribution are derived. The estimation of the model parameters is performed by maximum likelihood method. The usefulness of the model was showed by using a real dataset. In order to validate the results a simulation bootstrap is presented in this paper.
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β指数威布尔几何分布:建模,结构特性,估计和应用于宫颈上皮内瘤变数据集
提出了一种新的分布,即指数威布尔几何分布。该新分布由随机变量的logit生成,并将指数威布尔几何分布作为特殊情况。推导了各种结构性质,包括矩的显式表达式、矩生成函数、新分布的平均偏差。采用极大似然法对模型参数进行估计。通过实际数据集验证了该模型的有效性。为了验证结果,本文给出了一个仿真自举。
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来源期刊
Revista Brasileira de Biometria
Revista Brasileira de Biometria Agricultural and Biological Sciences-Agricultural and Biological Sciences (all)
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53 weeks
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